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Finding the Fourth Proportional to 413,659.44, 570,849.48 and 232,376.40

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Solution

The fourth proportional to 413,659.44, 570,849.48 and 232,376.40 is: 320,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,659.44 : 570,849.48 = 232,376.40 : x
  2. Step 2: Convert to fraction form
    413,659.44/570,849.48 = 232,376.40/x
  3. Step 3: Cross multiply
    413,659.44x = 570,849.48 × 232,376.40
  4. Step 4: Simplify right side
    413,659.44x = 132,651,947,104.27
  5. Step 5: Solve for x
    x = 132,651,947,104.27/413,659.44
  6. Step 6: Final answer
    x = 320,679.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.